Assume that the speed of sound, c, in a fluid depends on an elastic modulus, Ev, with di...

Assume that the speed of sound, c, in a fluid depends on an elastic modulus, E_v, with dimensions FL^-2 and the fluid density ,p, in the form . If this is to be a dimensionally homogeneous equation, what are the values for a and b? Is your result consistent with the standard formula for the speed of sound? (See Eq. 1.14.)